Find the derivative of each of the following w.r.t $x$: $y = \log_{4}(1 - 3x^{2})$ \(y = \frac{\

Question

Find the derivative of each of the following w.r.t $x$: $y = \log_{4}(1 - 3x^{2})$ $y = \frac{\sin x}{\log_{3}(2x^{2} + 1)}$ $\mathrm{f}(x) = \sin x \log_{6}(3 - 2x)$

Accepted Answer

(a) $-\frac{6x}{(1-3x^2)\ln4}$ (b) $\ln3\,\frac{(2x^2+1)\cos x\,\ln(2x^2+1)-4x\sin x}{(2x^2+1)[\ln(2x^2+1)]^2}$ (c) $\frac{1}{\ln6}[\cos x\,\ln(3-2x)-\frac{2\sin x}{3-2x}]$

Techniques of Differentiation - Derivatives of Logarithmic Functions (Non-Natural Base)

Techniques of Differentiation - Derivatives of Logarithmic Functions (Non-Natural Base)

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